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Finding the Third Proportional to 157,278.50 and 342,204.50

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Solution

The third proportional to 157,278.50 and 342,204.50 is: 744,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278.50 : 342,204.50 = 342,204.50 : x
  2. Step 2: Convert to fraction form
    157,278.50/342,204.50 = 342,204.50/x
  3. Step 3: Cross multiply
    157,278.50x = 342,204.50 × 342,204.50
  4. Step 4: Simplify right side
    157,278.50x = 117,103,919,820.25
  5. Step 5: Solve for x
    x = 117,103,919,820.25/157,278.50
  6. Step 6: Final answer
    x = 744,564.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.